A curved surface (loop) is obtained by twisting a rectangular piece of paper (tape) once and gluing the opposite edges together. It is the simplest example of a curved surface with no distinction between front and back. It is studied in topology. Even if the tape is cut in the middle, the loop remains continuous and does not separate into two loops. It is named after the German mathematician August Ferdinand Moebius (1790-1868). → Topology Source : Heibonsha Encyclopedia About MyPedia Information |
長方形の紙(テープ)を一度ねじって対辺をのりづけして得られる曲面(輪)。表裏の区別がない曲面の最も簡単な例。位相幾何学で研究される。テープ幅の中央を切っても輪はひと続きのままで2つの輪に分離しない。ドイツの数学者アウグスト・フェルディナント・メービウス〔1790-1868〕にちなむ。→位相幾何学
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